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Finding the Fourth Proportional to 53,806.68, 80,723.52 and 18,746.64

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Solution

The fourth proportional to 53,806.68, 80,723.52 and 18,746.64 is: 28,124.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,806.68 : 80,723.52 = 18,746.64 : x
  2. Step 2: Convert to fraction form
    53,806.68/80,723.52 = 18,746.64/x
  3. Step 3: Cross multiply
    53,806.68x = 80,723.52 × 18,746.64
  4. Step 4: Simplify right side
    53,806.68x = 1,513,294,768.97
  5. Step 5: Solve for x
    x = 1,513,294,768.97/53,806.68
  6. Step 6: Final answer
    x = 28,124.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.